676976004096 has 1056 divisors, whose sum is σ = 2360370087936. Its totient is φ = 168217804800.

The previous prime is 676976004041. The next prime is 676976004139. The reversal of 676976004096 is 690400679676.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14403744745 + ... + 14403744791.

Almost surely, 2^676976004096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 676976004096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1180185043968).

676976004096 is an abundant number, since it is smaller than the sum of its proper divisors (1683394083840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

676976004096 is a wasteful number, since it uses less digits than its factorization.

676976004096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 20575296, while the sum is 60.

The spelling of 676976004096 in words is "six hundred seventy-six billion, nine hundred seventy-six million, four thousand, ninety-six".